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45834852 = 2237796907
BaseRepresentation
bin1010111011011…
…0001001100100
310012020122121010
42232312021210
543213203402
64314222220
71064406210
oct256661144
9105218533
1045834852
1123966448
1213424970
13965a61b
146131940
154055a6c
hex2bb6264

45834852 has 48 divisors (see below), whose sum is σ = 123791360. Its totient is φ = 12928032.

The previous prime is 45834847. The next prime is 45834853. The reversal of 45834852 is 25843854.

45834852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 45834852.

It is not an unprimeable number, because it can be changed into a prime (45834853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3183 + ... + 10089.

Almost surely, 245834852 is an apocalyptic number.

45834852 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45834852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61895680).

45834852 is an abundant number, since it is smaller than the sum of its proper divisors (77956508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45834852 is a wasteful number, since it uses less digits than its factorization.

45834852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7000 (or 6998 counting only the distinct ones).

The product of its digits is 153600, while the sum is 39.

The square root of 45834852 is about 6770.1441639008. The cubic root of 45834852 is about 357.8754807630.

The spelling of 45834852 in words is "forty-five million, eight hundred thirty-four thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 79 84 158 237 316 474 553 948 1106 1659 2212 3318 6636 6907 13814 20721 27628 41442 48349 82884 96698 145047 193396 290094 545653 580188 1091306 1636959 2182612 3273918 3819571 6547836 7639142 11458713 15278284 22917426 45834852